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202054466640 = 24351328236053
BaseRepresentation
bin1011110000101101100…
…0100111110001010000
3201022112112010101220110
42330023120213301100
511302301420413030
6232453400241320
720412045425445
oct2741330476120
9638475111813
10202054466640
117876652a414
12331ab770240
1316090b56a00
149acacb79cc
1553c89e51b0
hex2f0b627c50

202054466640 has 240 divisors, whose sum is σ = 679193707392. Its totient is φ = 49667844096.

The previous prime is 202054466639. The next prime is 202054466641. The reversal of 202054466640 is 46664450202.

It is an interprime number because it is at equal distance from previous prime (202054466639) and next prime (202054466641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202054466641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33377854 + ... + 33383906.

Almost surely, 2202054466640 is an apocalyptic number.

202054466640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202054466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339596853696).

202054466640 is an abundant number, since it is smaller than the sum of its proper divisors (477139240752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202054466640 is a wasteful number, since it uses less digits than its factorization.

202054466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 202054466640 in words is "two hundred two billion, fifty-four million, four hundred sixty-six thousand, six hundred forty".